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AP Stats-Chapter 3 Flashcards

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5795024764explanatory variablemay help explain or predict changes in a response variable0
5795025375response variablemeasures an outcome of a study1
5795026007scatterplotshows the relationship between two quantitative variables measured on the same individuals2
5795028066FODShow to describe a scatterplot by form, outlier, direction, and shape3
5795032477positive associationthe association between two variables when above-average values of one tend to accompany above-average values of the other and when the below-average values also tend to occur together4
5795034069negative associationthe association between two variables when above-average values of one tend to accompany below-average values of the other5
5795035652Formdescribing a scatterplot as a linear or curved pattern6
5795037807Directiondescribing a scatterplot as having a positive or negative association7
5795038519Strengthdescribing a scatterplot based on how tightly the points lie in relationship to the best fit line8
5795040734Outlierdescribing a scatterplot that has obvious outliers or other departures from the overall pattern9
5795042140correlationmeasures the direction and strength of the linear relationship between two quantitative variables10
5795043621regression linea line that describes how a response variable y changes as an explanatory variable x changes, used in making predictions11
5795045155y-hatthe predicted value of the response variable y for a given value of the explanatory variable x12
5795046052slopethe amount by which y is predicted to change when x increases by one unit13
5795048287extrapolationthe use of a regression line for prediction far outside the interval of values of the explanatory variable x used to obtain the line, such predictions are not accurate14
5795049631residualthe difference between an observed value of the response variable and the value predicted by the regression line15
5795050761least-squares regression line (LSRL)the line that makes the sum of the squared residuals as small as possible16
5795051745residual plota scatterplot of the residuals against the explanatory variable, helps us assess whether a linear model is appropriate17
5795053107standard deviation of the residualsthis value gives the approximate size of a "typical" prediction error (residual)18
5795054810coefficient of determinationr-squared, the fraction of the variation in the values of y that is accounted for by the LSRL of y on x.19
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